Approximate resonance states in the semigroup decomposition of resonance evolution
| dc.creator | Strauss, Y. | |
| dc.creator | Horwitz, L. P. | |
| dc.creator | Volovick, A. | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T07:35:07Z | |
| dc.date.available | 2026-07-07T07:35:07Z | |
| dc.description | The semigroup decomposition formalism makes use of the functional model for $C_{.0}$ class contractive semigroups for the description of the time evolution of resonances. For a given scattering problem the formalism allows for the association of a definite Hilbert space state with a scattering resonance. This state defines a decomposition of matrix elements of the evolution into a term evolving according to a semigroup law and a background term. We discuss the case of multiple resonances and give a bound on the size of the background term. As an example we treat a simple problem of scattering from a square barrier potential on the half-line. | |
| dc.description | LaTex 22 pages 3 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0612027 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0612027 | |
| dc.identifier | doi:10.1063/1.2383069 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119992 | |
| dc.subject | Quantum Physics | |
| dc.title | Approximate resonance states in the semigroup decomposition of resonance evolution | |
| dc.type | text |